151083768 has 64 divisors (see below), whose sum is σ = 421660800. Its totient is φ = 44714880.

The previous prime is 151083767. The next prime is 151083773. The reversal of 151083768 is 867380151.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151083767) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4698 + ... + 18006.

It is an arithmetic number, because the mean of its divisors is an integer number (6588450).

Almost surely, 2^151083768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151083768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210830400).

151083768 is an abundant number, since it is smaller than the sum of its proper divisors (270577032).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

151083768 is a wasteful number, since it uses less digits than its factorization.

151083768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13372 (or 13368 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 39.

The square root of 151083768 is about 12291.6137264397. The cubic root of 151083768 is about 532.6058543335.

The spelling of 151083768 in words is "one hundred fifty-one million, eighty-three thousand, seven hundred sixty-eight".